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Finding the Third Proportional to 214,258 and 306,087

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Solution

The third proportional to 214,258 and 306,087 is: 437,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,258 : 306,087 = 306,087 : x
  2. Step 2: Convert to fraction form
    214,258/306,087 = 306,087/x
  3. Step 3: Cross multiply
    214,258x = 306,087 × 306,087
  4. Step 4: Simplify right side
    214,258x = 93,689,251,569
  5. Step 5: Solve for x
    x = 93,689,251,569/214,258
  6. Step 6: Final answer
    x = 437,273.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.